5n+6=2(2n+1)

Solution for 5n+6=2(2n+1) equation:

Simplifying
5n + 6 = 2(2n + 1)

Reorder the terms:
6 + 5n = 2(2n + 1)

Reorder the terms:
6 + 5n = 2(1 + 2n)
6 + 5n = (1 * 2 + 2n * 2)
6 + 5n = (2 + 4n)

Solving
6 + 5n = 2 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.
6 + 5n + -4n = 2 + 4n + -4n

Combine like terms: 5n + -4n = 1n
6 + 1n = 2 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + 1n = 2 + 0
6 + 1n = 2

Add '-6' to each side of the equation.
6 + -6 + 1n = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 2 + -6
1n = 2 + -6

Combine like terms: 2 + -6 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4